Matter describes interoperability, not one radio
Matter can run over Thread, Wi-Fi, or Ethernet. A Matter logo therefore does not reveal whether the device needs a Thread border router or joins the home Wi-Fi.
Thread needs a border router
Thread devices join a low-power mesh and need a compatible border router to reach the wider IP network. A Matter controller may or may not include that role.
Zigbee normally needs a brand or compatible hub
Legacy Aqara Zigbee devices do not become Thread devices. A bridge can expose supported functions to Matter while the device remains on its Zigbee network.
Write the five-part requirement
For each product record its protocol, radio, controller, border router or bridge, and primary app. This small table prevents most hub-shopping mistakes.